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E Book

Nonlinear Smoothing and Multiresolution Analysis

Rohwer, Carl. - Nama Orang;

Operators on Sequences -- Basic Rank Selectors, Pulses and Impulses -- LULU-Smoothers, Signals and Ambiguity -- LULU-Intervals, Noise and Co-idempotence -- Smoothing and Approximation with Signals -- Variation Reduction and Shape Preservation -- Multiresolution Analysis of Sequences -- The Discrete Pulse Transform -- Fair Comparison with Linear Smoothers -- Interpretation and Future.This monograph presents a new theory for analysis, comparison and design of nonlinear smoothers, linking to established practices. Although a part of mathematical morphology, the special properties yield many simple, powerful and illuminating results leading to a novel nonlinear multiresolution analysis with pulses that may be as natural to vision as wavelet analysis is to acoustics. Similar to median transforms, they have the advantages of a supporting theory, computational simplicity, remarkable consistency, full trend preservation, and a Parceval-type identity. Although the perspective is new and unfamiliar to most, the reader can verify all the ideas and results with simple simulations on a computer at each stage. The framework developed turns out to be a part of mathematical morphology, but the additional specific structures and properties yield a heuristic understanding that is easy to absorb for practitioners in the fields like signal- and image processing. The book targets mathematicians, scientists and engineers with interest in concepts like trend, pulse, smoothness and resolution in sequences.


Ketersediaan
#
Koleksi E Book Belum memasukkan lokasi
9783764373825
Tersedia
Informasi Detail
Judul Seri
-
No. Panggil
-
Penerbit
Basel : Birkhauser., 2005
Deskripsi Fisik
XIV, 137 p.online resource.
Bahasa
English
ISBN/ISSN
9783764373825
Klasifikasi
510
Tipe Isi
-
Tipe Media
-
Tipe Pembawa
-
Edisi
1st ed. 2005.
Subjek
Mathematics.
Applied mathematics.
Engineering mathematics.
Mathematical and Computational Engineering.
Signal processing.
Image processing.
Speech processing systems.
Signal, Image and Speech Processing.
Fourier analysis.
Mathematics, general.
Operator theory.
Approximation theory.
Approximations and Expansions.
Info Detail Spesifik
-
Pernyataan Tanggungjawab
Carl Rohwer.
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